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"Large majorities in all major demographic categories favor negotiations with Iran over their nuclear program, including 87% of Democrats and 68% of Republicans. This is nothing new for the U.S. public -- in 2009, virtually the same number of Americans said they favored negotiations with Iran," says CNN Polling Director Keating Holland.

The poll was conducted for CNN by ORC International September 27-29, with 803 adults nationwide questioned by telephone. The survey's overall sampling error is plus or minus 3.5 percentage points.